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受欢迎的代数 >

0=-4x^2+14x-7

解答

0 = - 4 x^{2} + 14 x - 7

解答

x = \frac{7 - 21}{4}, x = \frac{7 + 21}{4}

+1

十进制

x = 0.60435 \dots, x = 2.89564 \dots

求解步骤

0 = - 4 x^{2} + 14 x - 7

交换两边

- 4 x^{2} + 14 x - 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 ( - 4 ) ( - 7 )}{2 ( - 4 )}

1 4^{2} - 4 (- 4) (- 7) = 221

x_{1, 2} = \frac{- 14 \pm 2 21}{2 ( - 4 )}

将解分隔开

x_{1} = \frac{- 14 + 2 21}{2 ( - 4 )}, x_{2} = \frac{- 14 - 2 21}{2 ( - 4 )}

x = \frac{- 14 + 2 21}{2 ( - 4 )} : \frac{7 - 21}{4}

x = \frac{- 14 - 2 21}{2 ( - 4 )} : \frac{7 + 21}{4}

二次方程组的解是:

x = \frac{7 - 21}{4}, x = \frac{7 + 21}{4}

作图

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